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Chapter 8: Problem 56

Write a probability word problem whose answer is one of the following fractions: \(\frac{1}{6}\) or \(\frac{1}{4}\) or \(\frac{1}{3}\)

Short Answer

Expert verified
Three different probability problems were created with the respective solutions of \(\frac{1}{6}\), \(\frac{1}{4}\), and \(\frac{1}{3}\). Though these problems were formulated independently, they could be combined into a single complex problem if desired.

Step by step solution

01

Formulate a probability problem with the answer \(\frac{1}{6}\)

Imagine you have a six-sided die (standard die). The die is fair, which means all sides are equally likely to come up when rolled. When rolled, what is the probability that the number 1 appears?
02

Calculation for problem in Step 1

Since there is only one face with the number 1, and there are six faces in total, the probability is therefore \(\frac{1}{6}\), which is the desired outcome.
03

Formulate a probability problem with the answer \(\frac{1}{4}\)

Let's take the case where you have a bag containing 4 marbles: 1 blue, 1 green, 1 red, and 1 yellow. If you draw one marble randomly from the bag, what would be the probability that the marble drawn is blue?
04

Calculation for problem in Step 3

Since there is only one blue marble, and there are four marbles in total, the probability is therefore \(\frac{1}{4}\), which is the desired outcome.
05

Formulate a probability problem with the answer \(\frac{1}{3}\)

Imagine you have a box containing 3 balls: 1 white, 1 black, and 1 silver. If you choose one ball randomly from the box, what would be the probability that the ball chosen is silver?
06

Calculation for problem in Step 5

Since there is only one silver ball, and there are three balls in total, the probability is therefore \(\frac{1}{3}\), which is the desired outcome.

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Most popular questions from this chapter

Find the term indicated in each expansion. \((x-1)^{9} ;\) fifth term

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$ (5 x-1)^{3} $$

Write the first three terms in each binomial expansion, expressing the result in simplified form. $$ (x-2 y)^{9} $$

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $$ (x-3 y)^{5} $$

Use the Binomial Theorem to find a polynomial expansion for each function. Then use a graphing utility and an approach similar to the one in Exercises 64 and 65 to verify the expansion. $$ f_{1}(x)=(x-2)^{4} $$
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